Structural Engineering and Mechanics

Volume 99, Number 2, 2026, pages 231-249

DOI: 10.12989/sem.2026.99.2.231

MT-EBCE model based numerical analysis on non-linear vibration characteristics of stayed cable under complex end excitations: a case study on cable resonance

Jiang Yi , Ruicheng Liu , Huaisheng Ruan , Wei Wang , Yingqi Liu

Abstract

Stay cables in cable-stayed bridges often experience high-nonlinear vibrations under complex end excitations during strong earthquakes, resulting in severe damage to their seismic safety. Conventional discretized truss element models for simulating large-deformation cable vibrations frequently suffer from reduced accuracy, decreased computational efficiency, and numerical divergence. This study proposes an improved multi-element model (MT-EBCE) in OpenSees, which combines a truss element and an elastic beam-to-column element between multiple sharing nodes to compute coupled cable responses. Its superior computational accuracy and efficiency are validated against mainstream multi-element models. Subsequently, based on the improved MT-EBCE cable model, a numerical analysis is conducted to investigate the nonlinear vibration characteristics of stay cables under multidirectional and multi-frequency coupled complex end excitations. The results demonstrate that the improved MTEBCE model can effectively simulate loosening and fracture phenomena of the cable. The response characteristics of cables subjected to multi-directional and multi-frequency coupled excitations cannot be obtained through superposition from individual inputs. In some cases, calculations based on simple superposition may underestimate the cable displacement response by up to 50% compared to the true value under complex end excitation. Therefore, it is necessary to utilize the improved MT-EBCE model to conduct nonlinear vibration characteristic analysis for cables under complex end excitations.

Key Words

axisymmetric p-version model; stress intensity factor; virtual crack extension method; robustness; error prediction; Poisson locking.

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